12th Class Mental Ability Coding-Decoding Question Bank Question - Statements and Conclusion Symbols

  • question_answer
    Directions: In the following questions, the symbols \[\mathbf{\#, , \$,Qand}\] are used with the following meaning as illustrated below:
    \[P\,\,\#\,\,Q\] means ?P is neither greater than nor equal to Q?.
    \[P\,\,\,\,Q\] means ?P is neither greater than nor smaller than Q?.
    \[P\text{ }\$\text{}Q\] means ?P is not smaller than Q?.
    \[P\text{ }\text{ }Q\] means ?P is greater than Q?.
    \[P\text{ }%\text{ }Q\] means ?P is not greater than Q?.
    Statements:     \[M\text{ }\text{ }R,\text{ }R\text{ }%\text{ }T,\text{ }T\text{ }\text{ }N\]
    Conclusions I. \[N\text{ }\text{ }R\] II.\[N\,\,\,\,R\]
    Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is / are definitely true?

    A) if only conclusion I is true.

    B) if only conclusion II is true.

    C) if either conclusion I or II is true.

    D) if neither conclusion I nor II is true.

    E) if both conclusion I and II are true.

    Correct Answer: C

    Solution :

    \[P\,\,\text{ }\!\!\#\!\!\text{ }\,\,Q\,\,\to \,\,P\,\,<\,\,Q\] \[P\,\,\,\,Q\,\,\to \,\,P=Q\] \[P\,\$\,Q\,\,\to\,\,P\geQ\] \[P\,\,Q\,\,\to \,\,P>Q\] \[P\,%\,Q\,\,\to \,\,P\le Q\] (c) Statements: \[M\,\,>\,\,R,\,\,R\,\,\le \,\,T,\,\,T\,\,=\,\,N\] \[M\,\,>\,\,R\,\,\le \,\,T\,\,=\,\,N\] Conclusions I. \[N\,\,>\,\,R\]       (3 5) II. \[N\,\,=\,\,R\]       (3 5)


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